The shaft in Fig. 1 is simply supported at A and D but is keyed against rotation at both p...

The shaft in Fig. 1 is simply supported at A and D but is keyed against rotation at both points.

(a) Find reactions at the ends, and draw a view of the element at B on the top surface of the shaft. Show all stresses acting and their numerical values.

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(b) Compute the value of the maximum shearing stress at B and the angle at which it acts. Make a view of the element properly oriented, showing maximum shearing stresses acting as well as the normal stresses on all faces.

Figure 1